Product Exponential Method of Imputation in Sample Surveys

Abstract

In this paper, a product exponential method of imputation has been suggested and their corresponding resultant point estimator has been proposed for estimating the population mean in sample surveys. The expression of bias and the mean square error of the suggested estimator has also been derived, up to the first order of large sample approximations. Compared with the mean imputation method, Singh and Deo (Statistical Papers (2003)) and Adapted estimator (Bahl and Tuteja (1991)), the simulation studies show that the suggested estimator is the most efficient estimator.

Imputation of Missing Data Through Product Type Exponential Methods in Sampling Theory

“…Using MCAR response mechanism, Ahmed et al (2006), Singh & Horn (2000), Toutenburg et al (2008), Singh (2009), Singh et al (2010), Singh et al (2016), Gira (2015), Kadilar & Cingi (2008), Diana & Francesco Perri (2010), Prasad (2017), Prasad (2018a), Prasad (2018b), Prasad (2019), Prasad (2021) have proposed numerous new imputation techniques in sampling theory.…”